01 - Dissolve yeast and 1 tsp sugar in warm water. Let stand 5–10 minutes until foamy.
02 - In a large bowl, whisk together remaining sugar, milk, egg, melted butter, and salt until well combined.
03 - Add the yeast mixture to the wet ingredients and mix thoroughly.
04 - Gradually incorporate flour, stirring with a wooden spoon or using a stand mixer with dough hook until sticky dough forms.
05 - Transfer dough to lightly floured surface and knead 5 minutes until smooth and elastic, or 3–4 minutes in stand mixer.
06 - Place dough in lightly oiled bowl, cover with plastic wrap or damp towel, and let rise in warm place until doubled, about 1–1.5 hours.
07 - Punch down dough and transfer to floured surface. Roll to 1/4 inch thickness and cut into 2-inch squares using sharp knife or pizza cutter.
08 - Heat oil in deep fryer or heavy-bottomed pot to 350°F.
09 - Fry dough squares in batches, turning once, until puffed and golden brown on both sides, about 1–2 minutes per side.
10 - Remove beignets with slotted spoon, drain on paper towels, and generously dust with powdered sugar while warm. Serve immediately.